Jeanne can fruit alone, but it still benefits from a partner. Gooseberries are usually self-fruitful, but another cultivar can still improve fruit size and total yield. It flowers in mid bloom, which is worth knowing if you add a second tree later. Usually grown in USDA zones 3-8.
No single variety stands out as the obvious partner, but that is not a problem here: Pixwell, Poorman, Whinham's Industry, Captivator, and Hinnonmaki Red all bloom close enough to work. There are 1 more in the list below. Pick whichever your nursery actually carries. Gooseberries flower early, so nearby companions and active pollinators help on cool spring days.
To put that into practice: at a minimum, one gooseberry plant is enough for fruit. Better still, plant two gooseberry cultivars if you want heavier crops and larger berries. If a single gooseberry is fruiting lightly, improve sun, pruning, and soil moisture first, then consider adding a second cultivar.